Scattering cross section of metallic two-walled carbon nanotubes

The electromagnetic wave scattering from a metallic two-walled carbon nanotube is studied. The system is assumed to be illuminated by either a transverse magnetic or a transverse electric wave. Boundary-value method is used to evaluate the scattering characteristics of the system. Electronic excitations of each wall of nanotube are modeled as an infinitesimally thin cylindrical layer of the free-electron gas described previously by means of the linearized fluid theory. The computed results include the evaluation of the normalized scattering width of both transverse magnetic and transverse electric uniform plane wave by system at normal incidences.     

Effects of inelastic (re)scattering processes s→gg and gg→s on strange hadron production in pp collisions at RHIC and LHC energies

The rapidity densities at mid-rapidity and the transverse momentum distributions for strange hadrons produced in pp collisions are analyzed using the modified PACIAE model by considering the effect of inelastic (re)scattering processes s→gg and gg→s in parton (re)scattering. The calculated results of the transverse momentum spectra of the strangeness fitting with data measured by STAR and ALICE Collaborations can be improved, especially at large transverse momentum levels. This demonstrates that the effect of inelastic (re)scattering processes of s→gg and gg→s is not negligible at RHIC and LHC energy levels.     

Pulse propagation of acoustic waves scattered in a three-dimensional channel

Abstract

In a previous paper (Whitman et al 1999 Waves Random Media 9 1–11) we discussed the scattering of acoustic waves by random sound-speed fluctuations in a two-dimensional channel and presented an asymptotic form for an acoustic pulse propagating in the channel. Here we include the three-dimensional effect of transverse scattering. We find an asymptotic solution in which initially the two-dimensional mode-transfer effect is more important than the transverse scattering effect. However, for large enough propagation distances the transverse scattering effect dominates the pulse spread. In this paper we shall show the form of the pulse shape in both propagation ranges as well as in the transition regime. We shall begin with a discussion of the physics of the problem and then present a mathematical discussion.     

Broadband transverse displacement sensing of silicon hollow nanodisk under focused radial polarization illumination in the near-infrared region

Broadband transverse displacement sensing by exploiting the interaction of a focused radially polarized beam with a silicon hollow nanodisk is proposed. The multipolar decomposition analysis indicates that the interference between a longitudinal total electric dipole(TED) moment and a lateral magnetic dipole(MD) moment is dominant in the far-field transverse scattering in the near-infrared region. Within a broadband wavelength range with the width of 155 nm, the longitudinal TED is almost in phase with the lateral MD, and then broadband position sensing based on the sensitivity of scattering directivity to transverse displacement can be achieved.     

One-dimensional bulk ferromagnets: NdAl2 and hcp cobalt

It is shown experimentally that NdAl₂ and hcp cobalt are one-dimensional (1D) bulk ferromagnets. For hcp cobalt this is only under the condition that the sample is magnetically saturated, i.e. that all moments are aligned parallel to the hexagonal c-axis. In 1D magnets the transverse interactions need not to be zero but must be sufficiently weak such that the transverse correlation length does not diverge at the critical temperature. The transverse interactions are then not relevant and the phase transition is driven by the longitudinal interactions. On the other hand, magnetic Bragg scattering relies on finite transverse correlations. For NdAl₂ no conventional magnetic Bragg scattering is observed if all moments are aligned vertical to the scattering plane by a magnetic field. For hcp cobalt the scattering intensity is considerably reduced in this geometry instead of having its maximum. From this observation it can be concluded that the transverse correlation length is practically zero in NdAl₂ but has a finite value in hcp cobalt. The macroscopic magnetization shows normal ferromagnetic saturation.     

Eikonal approximation for magnetic electron scattering

The eikonal (high-energy) approximation of Yennie et al. for the scattering of electrons from nuclei has been extended to include the transverse interaction, and in particular the case of magnetic scattering. It is applied here to elastic magnetic scattering from ²⁰⁹Bi at 500 MeV as an example.     

Additional Raman Scattering Mechanism due to Transverse Polar Modes

Longitudinal polar modes generate a macroscopic electric field in piezoelectric crystals and cause an additional mechanism of Raman scattering.The classical theory holds that transverse polar modes cannot produce such an additional mechanism.Our quantum theory shows that there is an additional Raman scattering mechanism arising from the electro-optic effect of transverse polar modes.     

Diffusion of electrons scattered by short-range impurities in a quantizing magnetic field

Formulas for transverse diffusion and conductivity in a semiconductor are obtained for electrons scattered by neutral impurities in a quantizing magnetic field. The formulas are valid for an impurity potential of arbitrary depth. Based on Kubo’s theory [1], calculations are performed using electron wavefunctions of the problem of single-impurity scattering in a magnetic field [2]. The poles of the scattering amplitude correctly determine electron eigenstates and magnetic impurity states. As a result, an exact expression is found for the dependence of transverse diffusion coefficient D _⊥ on longitudinal electron energy ? due to scattering by short-range (neutral) impurities. The behavior of D _⊥(?) is examined over an interval of magnetic field strength for several values of impurity potential depth. The experimental observability of diffusion and conductivity using IR lasers is discussed.     

Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target

Single-spin asymmetries for semi-inclusive electroproduction of charged pions in deep-inelastic scattering of positrons are measured for the first time with transverse target polarization. The asymmetry depends on the azimuthal angles of both the pion (phi) and the target spin axis (phi(S)) about the virtual-photon direction and relative to the lepton scattering plane. The extracted Fourier component sin((phi+phi(S))(pi)(UT) is a signal of the previously unmeasured quark transversity distribution, in conjunction with the Collins fragmentation function, also unknown. The component sin((phi-phi(S)(pi)(UT) arises from a correlation between the transverse polarization of the target nucleon and the intrinsic transverse momentum of quarks, as represented by the previously unmeasured Sivers distribution function. Evidence for both signals is observed, but the Sivers asymmetry may be affected by exclusive vector meson production.     

Raman scattering enhancement by dielectric spheres

Raman scattering experiments were performed on Si(60 nm)/metal/substrate structures with and without silica microspheres (with a diameter between 0.5 and 5 µm) on top. Raman scattering from the thin Si layer exhibits enhancements (~20) due to the dielectric spheres, where the enhancement factors depend on the diameter of the spheres. The interaction between light and dielectric spheres has been simulated by finite difference time domain calculations (FDTD), wherein particularly the electric energy density (ED) distribution in the thin Si layer was of concern. For microspheres with a diameter less than ~3 µm, the transverse ED distribution (perpendicular to the incident light direction) within the Si layer is characterised by a single peak centered on the optical axis. For larger diameters, a multimodal transverse ED distribution develops where the maximum is not centered on the optical axis. Using an ad‐hoc approach for surface enhanced Raman scattering in combination with the FDTD calculations, the experimental Raman observations are well accounted for. Copyright © 2013 John Wiley & Sons, Ltd.     

Hall effect induced by a spin-polarized current in superconductors

We propose a novel anomalous Hall effect caused by the spin-polarized current in superconductors (SC). The spin-polarized quasiparticles flowing in SC are deflected by spin-orbit scattering to yield a quasiparticle charge imbalance in the transverse direction. Overall charge neutrality gives rise to a compensating change in the number of Cooper pairs. A transverse electric field builds up as opposed to an acceleration of the Cooper pairs, producing the Hall voltage. It is found that the Hall voltages due to the side jump and skew scattering mechanisms have different temperature dependence in the superconducting state. A spin-injection Hall device to generate the ac Josephson effect is proposed.     

Elastic scattering from the multiperipheral model

Elastic scattering in the Multiperipheral Model (MPM) is examined by use of a new method for simplifying unitary calculations - multiparticle impact parameter. The t dependence of elastic scattering in the MPM is related to the average transverse momentum of produced particles, the average multiplicities (observables), phase variation with transverse momentum, and clustering (not observables, in general). It is shown that MPM's are inconsistent with the combination of elastic and multiparticle data, unless either the cluster size or the phases have rather strong energy dependence.     

各向异性有耗介质板介电系数和电导率的反演

简述了各向异性介质FDTD方法，并用FDTD方法分析了三维各向异性有耗介质板的瞬态后向散射.根据各向异性介质板后向散射与入射电磁波极化方向有关的特点，利用其后向RCS的谐振特性和后向散射场的时域波形特点反演有耗介质板的横向介电系数和电导率.数值模拟结果表明本反演方法可行，且方便、快捷. 关键词： 各向异性板 FDTD方法 有耗介质 谐振 反演     

径向偏振光束激发的金属纳米球-纳米圆盘间隙模式等离激元共振光谱特性研究

提出了一种可用于表面增强拉曼测量的基于金属纳米圆盘上方放置金属纳米球颗粒构成的金属纳米结构，其在径向偏振光束激发下，由于金属纳米圆盘的呼吸模式表面等离激元共振的作用，可以形成纵向电场有效增强的间隙模式等离激元共振。对此进行了有限元模拟计算研究，计算结果证明该间隙模式的纵向电场分量相对于径向偏振入射光的有效激发横向电场分量增强了100倍以上。为了更清晰地展现这种新型纳米结构的光谱特性以及表面电场分布特征，同时对单个金属纳米圆盘，单个金属纳米球，金属薄膜，金属纳米球-金属薄膜这几种纳米结构在同一个模拟计算框架下进行了计算以及比较分析。由于可以把金属纳米球类比为金属探针的尖端，所提出的新型间隙模式也有望在针尖型拉曼增强中得到应用。     

Scattering of atomic beams by surface and bulk phonons

The general expressions obtained in a previous work are further developed to get general formulae for one-phonon scattering of atomic beams in closed form. The scattering by bulk and surface phonons are discussed separately and the respective scattered energy spectra and behaviour near the Bragg angles are carefully treated. Interesting differences are found, which may have experimental importance in separating events of scattering from different modes. The expressions for the inelastic scattering differential cross-sections obtained are applied to the experiment by Williams et al. on the He/NaF(001) system. Despite the use of estimated values for the unknown parameters, a good quantitative agreement with the experiment is obtained, and the structure observed by Williams near the specular peak is clearly explained. The contribution of transverse bulk modes is found to be about 30% of that of transverse surface modes. The contribution of longitudinal modes in smaller than the contribution of the respective transverse modes by a factor 0.01.     

单线法测量横向阻抗系统设计与模拟计算

 介绍了单线法测量横向阻抗的基本原理、系统设计和初步模拟计算结果。单线法横向阻抗测量系统由待测元件/参考元件、内置导线、导线偏移调节机构、阻抗匹配段和测量仪器构成。调节机构可以精确调整内置导线的横向位置以激励偶极模式。利用微波工作室软件模拟计算待测元件（2 856 MHz“凸型”腔）的偶极模。“凸型”腔横向阻抗的幅值和偶极模频率的计算结果与ABCI程序数值计算的结果基本相符，说明了单线法横向阻抗测量系统理论上的可行性。     

Anisotropic attenuation of transverse ultrasound in cubic crystals of Ge,Si, and diamond with various isotopic compositions

The attenuation of transverse ultrasound in germanium, silicon, and diamond crystals is considered with allowance for competing isotopic and anharmonic scattering processes. The dependence of the attenuation of transverse ultrasound on the direction of the wave vector of quasi-transverse phonons is analyzed within an anisotropic continuum model. The Landau—Rumer mechanism is considered for anharmonic scattering processes. Given the second-and third-order elastic moduli, the parameters are found determining ultrasonic absorption in the above crystals with various degrees of isotopic disorder. The attenuation coefficients of transverse ultrasound associated with isotopic and anharmonic scattering processes are shown to have qualitatively different angular dependences. Therefore, from studying the anisotropic attenuation of ultrasound in cubic crystals, one can determine the dominant mechanism of ultrasonic absorption in isotopically modified crystals.     

Existence of the transverse relaxation time in optically excited bulk semiconductors

Two basic types of depolarization mechanisms, carrier-carrier (CC) and carrier-phonon (CP) scattering, are investigated in optically excited bulk semiconductors (3D), in which the existence of the transverse relaxation time is proven based on the vector property of the interband transition matrix elements. The dephasing rates for both CC and CP scattering are determined to be equal to one half of the total scattering-rate-integrals weighted by the factors (1-\cos\chi), where \chi are the scattering angles. Analytical expressions of the polarization dephasing due to CC scattering are established by using an uncertainty broadening approach, and analytical ones due to both the polar optical-phonon and non-polar deformation potential scattering (including inter-valley scattering) are also presented by using the sharp spectral functions in the dephasing rate calculations. These formulas, which reveal the trivial role of the Coulomb screening effect in the depolarization processes, are used to explain the experimental results at hand and provide a clear physical picture that is difficult to extract from numerical treatments.     

Single scattering of waves by random strong anisotropic inhomogeneities

Research is carried out into scattering of waves by random strong anisotropic inhomogeneities when the inhomogeneities are in the distant zone according to one (transverse) scale and at the same time they are in the near zone according to another (longitudinal) scale. To analyse the formulas of the single scattering the stationary phase method in the longitudinal coordinate integral is used. It is shown that the angle sensitivity of strong anisotropic scattering, unlike weak anisotropic scattering, strongly depends on the longitudinal statistical homogeneity of the medium.     

Collinear light scattering on dipole-exchange spin waves in inhomogeneous ferromagnetic films

A theory is developed for the collinear TE-TM scattering of optical waveguide modes on dipoleexchange spin waves in perpendicularly magnetized ferromagnetic films that are inhomogeneous across their thickness. It is found in homogeneous ferromagnetic films and in films with small deviations from homogeneity that the TE-TM scattering on higher spinwave modes is strongest when the synchronism conditions for the transverse phases and for the longitudinal and transverse wave vectors are satisfied. When the thickness of the planar optical waveguide does not match the thickness of the ferromagnetic film, the phase synchronism condition is violated with the resultant appearance of an oscillating type of dependence of the TE-TM scattering on the spin-wave mode number. The scattering of light on spin-wave modes in films with a magnetization gradient is investigated in the presence of turning points for the magnetostatic potential. It is found that the existence of a turning point in the region of the antinode for the optical modes leads to an increase in the scattering amplitude. The formation of inhomogeneous magnetooptical structures and superlattices based on (Lu,Y,Bi)₃(Fe,Ga)₅O₁₂ is discussed. Zh. Tekh. Fiz. 68, 78–84 (June 1998)